Question

Triangle FUN, with vertices F(−2, 4), U(0, −5), and N(−3, −8) was dilated to form triangle PET with vertices P(−1.6, 3.2), E(0, −4), and T(−2.4, −6.4).Which scale factor was used? A. 1.25

B. −1

C. 2/3

D. 0.8


Suppose these statements about two triangles are
true:∠G=∠S,∠R=∠,and ∠M=∠N. Which statement is correct? Select all that apply.


A.The sides are congruent.


B.The sides are proportional.


C. ΔGRM is similar to ΔNST

D. ΔMGR is similar to ΔNST

Answer 1

For first question answer is D.0.8

For second question answer is D.ΔMGR is similar to ΔNST.

Explanation:

Here triangle FUN is dilated to get triangle PET

So, let's take F and P.

F(-2,4) and P(-1.6, 3.2)

Let's find the scale factor by dividing the coordinates.

Scale factor =
`(-1.6)/(-2) =0.8`

Using y coordinates of the same points

Scale factor =
`(3.2)/(4) =0.8`

So, scale factor is 0.8

Now, for the second problem

<G= <S

<R= <T

<M=<N

So, the corresponding angles are congruent when two triangles similar.

So, we can say ΔMGR is similar to ΔNST.